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Finding the Third Proportional to 362,233,430 and 564,873,399

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Solution

The third proportional to 362,233,430 and 564,873,399 is: 880,873,852.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,233,430 : 564,873,399 = 564,873,399 : x
  2. Step 2: Convert to fraction form
    362,233,430/564,873,399 = 564,873,399/x
  3. Step 3: Cross multiply
    362,233,430x = 564,873,399 × 564,873,399
  4. Step 4: Simplify right side
    362,233,430x = 319,081,956,897,813,184
  5. Step 5: Solve for x
    x = 319,081,956,897,813,184/362,233,430
  6. Step 6: Final answer
    x = 880,873,852.25

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.